This is not a recommended option and having anything more than hand luggage would be a problem. There are buses from Kolkata to Krishnanagar. From there you would need to take a different bus to "Navadvipa Rail Gate". From there you would need to take a rickshaw. Buses depart from the airport "Ek Nambar Gate", an Rs 10 rickshaw ride from the terminal. The buses are normally going to Malda or Borampur with a stop in Krishnanagar.
There is also a bus from the ISKCON temple in Kolkata to the ISKCON Mayapura temple (the opposite side of the river), but as the Kolkata ISKCON management is extremely offensive to Srila Gurudeva I would sooner walk to Navadvipa instead.

About Purebhakti

We publish in written and audio form the transcendental sound vibrations that have eminated from self realized Spiritual Masters in the line of Sri Krsna and in recent times, His manifestation as Sri Caitanya Mahaprabhu (1482 AD).